Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.6 - Radical Equations - Exercise Set - Page 561: 69

Answer

$x= 4$.

Work Step by Step

Given \begin{equation} \begin{aligned} & \sqrt{x}+3=5 \\ & {[-1,6,1] \text { by }[-1,6,1]} \end{aligned} \end{equation} Let \begin{equation} \begin{aligned} f(x)&= \sqrt{x}+3\\ g(x)&=5\\ \end{aligned} \end{equation} A plot of the two function is shown in the figure. We see that the point of intersection between the graphs of the functions is at $(x,y) = (4,5)$. This means that the solution is $x= 4$. Let's check. \begin{equation} \begin{aligned} \sqrt{4}+3& \stackrel{?}{=}5 \\ 2+3& \stackrel{?}{=}5 \\ 5&= 5\checkmark \end{aligned} \end{equation}
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